Add 10/9 and 28/42
1st number: 1 1/9, 2nd number: 28/42
10/9 + 28/42 is 16/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
10/9 = 10 × 14/9 × 14 = 140/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
28/42 = 28 × 3/42 × 3 = 84/126 - Add the two like fractions:
140/126 + 84/126 = 140 + 84/126 = 224/126 - 224/126 simplified gives 16/9
- So, 10/9 + 28/42 = 16/9
In mixed form: 17/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/9+28/42 10/9+56/42 10/18+28/42 10/9+28/84 30/9+28/42 10/9+84/42 10/27+28/42 50/9+28/42 10/45+28/42 70/9+28/42 10/63+28/42